Given:
The given equation is:
To find:
The solution for the given equation.
Solution:
We have,
On simplification, we get
Squaring both sides, we get
Divide both sides by -2.
Therefore, the correct option is B.
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2 answers:
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The <u>correct diagram</u> is attached.
Explanation:
Using technology (such as Geogebra), first construct a line segment. Name the endpoints C and D.
Construct the perpendicular bisector of this segment. Label the intersection point with CD as B, and create another point A above it.
Measure the distance from C to B and from B to D. They will be the same.
Measure the distance from A to B. If it is not the same as that from C to B, slide A along line AB until the distance is the same.
Using a compass and straightedge:
First construct segment CD, being sure to label the endpoints.
Set your compass a little more than halfway from C to D. With your compass set on C, draw an arc above segment CD.
With your compass set on D (the same distance as before) draw an arc above segment CD to intersect your first arc. Mark this intersection point as E.
Connect E to CD using a straightedge; mark the intersection point as B.
Set your compass the distance from C to B. With your compass on B, mark an arc on EB. Mark this intersection point as A.
AB will be the same distance as CB and BD.
Explanation:
Using technology (such as Geogebra), first construct a line segment. Name the endpoints C and D.
Construct the perpendicular bisector of this segment. Label the intersection point with CD as B, and create another point A above it.
Measure the distance from C to B and from B to D. They will be the same.
Measure the distance from A to B. If it is not the same as that from C to B, slide A along line AB until the distance is the same.
Using a compass and straightedge:
First construct segment CD, being sure to label the endpoints.
Set your compass a little more than halfway from C to D. With your compass set on C, draw an arc above segment CD.
With your compass set on D (the same distance as before) draw an arc above segment CD to intersect your first arc. Mark this intersection point as E.
Connect E to CD using a straightedge; mark the intersection point as B.
Set your compass the distance from C to B. With your compass on B, mark an arc on EB. Mark this intersection point as A.
AB will be the same distance as CB and BD.
The 4-member family can be seated in 4! ways.
The two brothers can be seated together in 2! ways.
Therefore, the total number of ways is
Diagrammatically, the result is shown in the figure below. The two brothers are family members 3 and 4, shown in shaded color.
Answer: 12 ways.
The two brothers can be seated together in 2! ways.
Therefore, the total number of ways is
Diagrammatically, the result is shown in the figure below. The two brothers are family members 3 and 4, shown in shaded color.
Answer: 12 ways.
Answer:
Step-by-step explanation:
We know that the line passes through the point (16, -10).
And we also know that it is parallel to
Notice that the slope of this line is -3/4
Remember that parallel lines have the same slope.
Therefore, the slope of our new line is also -3/4
Now, we can use the point-slope form:
Where <em>m</em> is the slope and (x₁, y₁) is a point.
So, let’s substitute -3/4 for <em>m</em> and (16, -10) for (x₁, y₁). This yields:
Distribute:
Simplify:
Subtract 10 from both sides:
This is in the form <em>y=mx+b</em>.
Therefore, our <em>b</em> is 2.
And our final answer is 2.